Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations
作者: Wei QuYong Liang
作者单位: 1State Key Laboratory of Quality Research in Chinese Medicines & Faculty of Information Technology, Macau University of Science and Technology
2School of Mathematics and Statistics, Shaoguan University
刊名: Advances in Difference Equations, 2017, Vol.2017 (1), pp.1-11
来源数据库: Springer Nature Journal
DOI: 10.1186/s13662-017-1150-1
关键词: Crank-Nicolson schemetempered fractional diffusion equationsunconditionally stableconvergencevariable coefficients
原始语种摘要: Abstract(#br)A Crank-Nicolson scheme catering to solving initial-boundary value problems of a class of variable-coefficient tempered fractional diffusion equations is proposed. It is shown through theoretical analysis that the scheme is unconditionally stable and the convergence rate with respect to the space and time step is O ( h 2 + τ 2 ) $\mathcal{O}(h^{2} +\tau^{2})$ under a certain condition. Numerical experiments are provided to verify the effectiveness and accuracy of the scheme.
全文获取路径: Springer Nature  (合作)
影响因子:0.76 (2012)

  • convergence 汇合
  • fractional 分级的
  • tempered 回火
  • coefficient 系数
  • scheme 略图
  • variable 变量
  • class 
  • diffusion 扩散
  • Crank 起重机